How do solve the following linear system?: # -x+5y=-5 , x-2y=8 #?

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Answer 1 · 2015-11-26T03:22:41

The solution for the system of equations is :
#color(blue)(x=10,y=1#

#color(blue)(-x)+5y=-5#........equation #(1)#

#color(blue)(x)-2y=8#.........equation #(2)#

We can solve the system of equations through elimination as upon adding the two #color( blue)(x# gets cancelled.

Adding equations #1# and #2#:

#cancelcolor(blue)(-x)+5y=-5#
#cancelcolor(blue)(x)-2y=8#

#3y=3#

#y=3/3#

#color(blue)(y=1#

Finding #x# by substituting #y# in equation #1#:

#-x+5y=-5#

#5y +5=x#

#5 * color(blue)(1) +5=x#

#5 +5=x#

#color(blue)(x=10#